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136392960 = 2835113229
BaseRepresentation
bin10000010000100…
…11000100000000
3100111122110222010
420020103010000
5234404033320
621311212520
73244215054
oct1010230400
9314573863
10136392960
116aa99060
1239817140
13223465c2
1414185c64
15be92ae0
hex8213100

136392960 has 144 divisors (see below), whose sum is σ = 475352640. Its totient is φ = 33054720.

The previous prime is 136392941. The next prime is 136392973. The reversal of 136392960 is 69293631.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40626 + ... + 43854.

It is an arithmetic number, because the mean of its divisors is an integer number (3301060).

Almost surely, 2136392960 is an apocalyptic number.

136392960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136392960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237676320).

136392960 is an abundant number, since it is smaller than the sum of its proper divisors (338959680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

136392960 is a wasteful number, since it uses less digits than its factorization.

136392960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3264 (or 3250 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 39.

The square root of 136392960 is about 11678.7396580282. The cubic root of 136392960 is about 514.7511412732.

The spelling of 136392960 in words is "one hundred thirty-six million, three hundred ninety-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 640 660 704 768 880 960 1056 1280 1320 1408 1760 1920 2112 2640 2816 3229 3520 3840 4224 5280 6458 7040 8448 9687 10560 12916 14080 16145 19374 21120 25832 32290 35519 38748 42240 48435 51664 64580 71038 77496 96870 103328 106557 129160 142076 154992 177595 193740 206656 213114 258320 284152 309984 355190 387480 413312 426228 516640 532785 568304 619968 710380 774960 826624 852456 1033280 1065570 1136608 1239936 1420760 1549920 1704912 2066560 2131140 2273216 2479872 2841520 3099840 3409824 4133120 4262280 4546432 5683040 6199680 6819648 8524560 9092864 11366080 12399360 13639296 17049120 22732160 27278592 34098240 45464320 68196480 136392960